Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no association between these two variables? Choose the correct answer below. O A. No, because if r=0, the variables are in a perfect linear relationship. O B. Yes, because if r= 0, the variables are completely unrelated. O C. No, because while there is no linear correlation, there may be a relationship that is not linear. O D. No, because r does not measure the strength of the relationship, only its direction.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no
association between these two variables?
Choose the correct answer below.
O A. No, because if r=0, the variables are in a perfect linear relationship.
O B. Yes, because if r= 0, the variables are completely unrelated.
OC. No, because while there is no linear correlation, there may be a relationship that is not linear.
O D. No, because r does not measure the strength of the relationship, only its direction.
Transcribed Image Text:Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. If it is found that r= 0, does that indicate that there is no association between these two variables? Choose the correct answer below. O A. No, because if r=0, the variables are in a perfect linear relationship. O B. Yes, because if r= 0, the variables are completely unrelated. OC. No, because while there is no linear correlation, there may be a relationship that is not linear. O D. No, because r does not measure the strength of the relationship, only its direction.
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